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# -*- coding:utf-8 -*-

__author__ = 'gjw'

__time__ = '2018/1/8 0008 下午 1:46'

# 题目：有一分数序列：2/1，3/2，5/3，8/5，13/8，21/13...求出这个数列的前20项之和。

# 程序分析：请抓住分子与分母的变化规律。

a = 2

b = 1

s = 0

for i in range(20):

s += a/b

a, b = a+b, a

print(s)